I hunted Saskatchewan, but went into Calgary and then onto Saskatoon. The Canadian customs agents were pleasant and a painless experience other than confusion about whether the ammo box needed to be in the rifle case or my luggage. They had a discussion among themselves with the airline rep until someone finally told the airline rep how things were going to be and then sent me on my way. They could not have been any friendlier or easier to deal with, absolute shining role models of hospitality.
Going through Newark with a gun may be a bigger issue than Canada.
I came back into the US through Minneapolis and it was the single worst travel experience of my life having traveled to four continents including being caught in a riot in Brazil. The US Customs agent would have been fired by the Stazi for being such a raging jackass on some big power trip.
Apparently he thought a Rem 700 .30-06 in a fiberglass B&C stock was a huge red flag. It actually made me ashamed to think this jackass goon with a chip on his shoulder represented my country. I wondered how he was treating foreign visitors. I chalk it up to be a leftist state influence.
fyi - I watched Canadian customs refuse entry to a hunter due to having a DWI. So if you have that in your background, check it out in advance.
fyi 2 - hunting Saskatchewan in November can be brutally cold. Be prepared. Most days it was around 0F to 15F max, which was cold, but tolerable. However two days it was -25F. It was absolutely gruesome and a brutal physical and mental endurance contest. I am glad I did it once, but once was enough as I am a warm to hot weather person.
Have a great trip.